Third International Conference on Applications of Mathematics to Nonlinear Sciences.
Electron. J. Diff. Eqns., conf. 27 (2024), pp. 63-73.

Title: On drug therapy for an HIV infection age model with cellular and immune delays

Author: Nicoleta E. Tarfulea (Purdue Univ. Northwest, Indiana, USA)
 
Abstract: 
We study the effectiveness of drug therapy for an HIV infection age 
mathematical model that considers both virus-to-cell and cell-to-cell 
infections, as well as the immune response. As expected, in the presence of 
perfect inhibitors, the populations of infected cells, virus, and effector 
cells decay exponentially to zero. When protease inhibitors are used, the 
production of infectious virions is diminished, as demonstrated in our drug 
therapy model.

Published August 20, 2024.
Math Subject Classifications: 34K12, 92D30, 92C50.
Key Words: HIV infection; viral age model; drug therapy; inhibitors.